Mean spacing between Hemoglobin molecules

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Discussion Overview

The discussion revolves around calculating the mean spacing between hemoglobin molecules within a red blood cell, focusing on the application of geometry and volume calculations. Participants explore various methods to approach the problem, including assumptions about the shape and arrangement of the molecules.

Discussion Character

  • Homework-related, Mathematical reasoning, Conceptual clarification

Main Points Raised

  • One participant suggests treating the red blood cell as a sphere to calculate its volume, but expresses uncertainty about how to use this to find the spacing between molecules.
  • Another participant considers using the density of the red blood cell as a starting point but also struggles with the concept of mean spacing.
  • A different participant proposes a geometric approach, suggesting that the volume available to each hemoglobin molecule can be calculated, assuming it occupies the center of a cube.
  • There is a question about whether the separation between molecules is equivalent to the cube length and how to determine this length, particularly if the molecule does not occupy the entire cube.
  • One participant raises a concern about the implications if the volume of the hemoglobin molecule exceeds the volume of the cube, indicating a potential problem with the assumptions made.
  • A later reply acknowledges the confusion regarding the occupancy of the cube by the molecule and expresses gratitude for the clarification provided by others.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best method to calculate the mean spacing, and multiple competing views on the approach remain throughout the discussion.

Contextual Notes

Participants express uncertainty regarding the assumptions about molecular occupancy and the implications of volume calculations, indicating that the discussion is limited by these unresolved aspects.

Krazer101
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Homework Statement


Calculate the mean spacing between hemoglobin molecules inside a red blood cell?


Homework Equations


Diameter of red blood cell = 5 microns
3*10^8 hemoglobin molecules in each red blood cell
Volume of hemoglobin molecule = 8.71*10^-26 m


The Attempt at a Solution


I assume we take the blood cell to be a spherical model, therefore we can find the volume of the cell. I am having trouble understanding how to use this data to find spacing inside a sphere.
 
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anyone know where to start? I was thinking to use the density of the red blood cell but I am still having trouble figuring out how to eventually get to mean spacing
 
I would treat it as a simple geometry. Calculate volume available to each hemoglobin molecules, assume it sits in the center of a cube, calculate cube edge length.

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So if we take the molecule in the center, then would the separation be the distance between the center of two cubes? The separation is the cube length? I am having trouble understanding how you determine cube length. Are we supposing the molecule takes up all the possible room in the cube?
 
Krazer101 said:
So if we take the molecule in the center, then would the separation be the distance between the center of two cubes? The separation is the cube length?

It is the same.

I am having trouble understanding how you determine cube length.

Oh come on, what is the formula for cube volume?

Are we supposing the molecule takes up all the possible room in the cube?

Doesn't matter, even if it doesn't take whole volume. Space can be filled with anything - water for example.

There is a possible problem if given molecule volume is higher than the cube volume, that would mean something is wrong.
 
Thank you, my main problem was understanding what would happen if the molecule did not completely occupy the cube or so. Thanks for explaining it to me.
 

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